A hospital wishes to justify the benefits of nutrition programs for pregnant women using birth weight data from newborns. The hospital hopes to show that the mean birth weight for newborns from mothers who complete the program is higher than the birth weight for newborns from mothers who do not complete the program. A group of 20 pregnant women were randomly divided into two groups; the first group received the nutrition program and the second group did not receive the program. The resulting weights (in grams) of the newborn babies from each group are shown below. Assume normality. Assignment 8q3 data a) Assuming equal variance, let #1 represent the mean associated with the nutrition program, and let #2 represent the mean associated with no nutrition program. What are the proper hypotheses? O Ho: #1 = /2 versus Hai #1 # #2 O Ho: #1 = /2 versus Hai #1 #2 b) What is the test statistic? Give your answer to four decimal places. c) What is the P-value associated with the test statistic? Give your answer to four decimal places. d) What is the appropriate conclusion for the hospital using a 0.05 level of significance? O Fail to reject the claim that the mean birth weight with the program is equal to the mean birth weight without the program because the P-value is greater than 0.05. O Conclude that the mean birth weight with the program is higher than the mean birth weight without the program because the P-value is less than 0.05. O Fail to reject the claim that the mean birth weight with the program is equal to the mean birth weight without the program because the P-value is less than 0.05. O Reject the claim that the mean birth weight with the program is higher than the mean birth weight without the program because the P- value is less than 0.05.Group 1, Group 2 2563, 2505 2810,2673 2643, 2498 2690, 2576 2702, 2640 2594 , 2473 2602, 2538 2809, 2586 2769 , 2432 2513, 2674